Note that the CV controlled-Z gate \(e^{i \hat{q}\otimes \hat{q}}\)  is common to both the GKP qubit encoding and canonical CV cluster state generation.
Therefore it is possible to generate a hybrid cluster state with nodes comprising momentum-squeezed states, GKP qubits, and their common \(CZ\)  gates [1]}.
As we detail in the results sections, this is one of the key concepts that enables computation with our hybrid resource state.
